The next lunar year, year of the buffalo, starts on February 12, 2021.
Under the first option, government offices and state-owned companies will close for seven days from February 10-16; and in the second, the holiday will start on February 11, a day before the new lunar year, and run until February 17, the sixth day of the new year.
Schools and other businesses across the country usually follow the same break as government offices.
The ministry will collect comments and opinions from other ministries and relevant agencies over the next 15 days before submitting an official proposal to the government.
The ministry said it endorses the first option because that would give more time for people to travel and get ready for the holiday, the biggest in Vietnam that sees millions of migrant workers go home to the countryside from major cities.
Vietnam also had a seven-day break for the last Tet festival that was celebrated in January.